PLEASE HELP!!! ILL MARK YOU BRAINLIEST 35 POINTS An expression is shown below: 2x3y + 8xy − 4x2y − 16y Part A: Rewrite the expre
ssion by factoring out the greatest common factor. Part B: Factor the entire expression completely. Show the steps of your work.
1 answer:
Answer:
2y (x-2) (x^2 +4)
or see below for imaginary factors
Step-by-step explanation:
2x^3 y + 8xy − 4x^2 y − 16y
The greatest common factor is 2y
2y ( x^3 + 4x - 2x^2 -8)
Rearranging the order
2y ( x^3 -2x^2 +4x-8)
Factor by grouping
2y ( x^3 -2x^2 +4x-8)
Taking x^2 from the first group and 4 from the second
2y (x^2 (x-2) + 4(x-2))
Factor out (x-2)
2y (x-2) (x^2 +4)
If you want imaginary factors
continue
2y (x-2) ( x^2 - (2i)^2)
2y ( x-2) ( x-2i) (x+2i)
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